Abstract

We discuss the Weyl multipliers for pairs of Lebesgue spaces, and identify some sub classes of B(L2(Rn))\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$B(L^2({\\mathbb {R}}^n))$$\\end{document} which form Weyl multipliers for (Lp,Lq),1≤p,q≤∞\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(L^p, L^q), \\, 1\\le p,q \\le \\infty $$\\end{document}. Similar results are also obtained for Lorentz spaces.

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